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Tutorials in Mathematical Biosciences I [electronic resource] : Mathematical Neuroscience / by Alla Borisyuk, Avner Friedman, Bard Ermentrout, David Terman.

Por: Borisyuk, Alla [author.]Colaborador(es): Friedman, Avner [author.] | Ermentrout, Bard [author.] | Terman, David [author.]Tipo de material: TextoTextoSeries Lecture Notes in Mathematics, Mathematical Biosciences, 1860Editor: Berlin, Heidelberg : Springer Berlin Heidelberg, 2005Descripción: X, 170 p. online resourceTipo de contenido: text Tipo de medio: computer Tipo de portador: online resourceISBN: 9783540315445Trabajos contenidos: SpringerLink (Online service)Tema(s): Mathematics | Biology -- Data processing | Neurobiology | Differential Equations | Differential equations, partial | Biology -- Mathematics | Computer science -- Mathematics | Mathematics | Mathematical Biology in General | Ordinary Differential Equations | Partial Differential Equations | Computational Mathematics and Numerical Analysis | Neurobiology | Computer Appl. in Life SciencesFormatos físicos adicionales: Sin títuloClasificación CDD: 570.151 Clasificación LoC:QH323.5Recursos en línea: de clik aquí para ver el libro electrónico
Contenidos:
Springer eBooksResumen: This volume introduces some basic theories on computational neuroscience. Chapter 1 is a brief introduction to neurons, tailored to the subsequent chapters. Chapter 2 is a self-contained introduction to dynamical systems and bifurcation theory, oriented towards neuronal dynamics. The theory is illustrated with a model of Parkinson's disease. Chapter 3 reviews the theory of coupled neural oscillators observed throughout the nervous systems at all levels; it describes how oscillations arise, what pattern they take, and how they depend on excitory or inhibitory synaptic connections. Chapter 4 specializes to one particular neuronal system, namely, the auditory system. It includes a self-contained introduction, from the anatomy and physiology of the inner ear to the neuronal network that connects the hair cells to the cortex, and describes various models of subsystems.
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Preface -- A. Friedman: Introduction to Neurons -- D. Terman: An Introduction to Dynamical Systems and Neuronal Dynamics -- B. Ermentrout: Neural Oscillators -- A. Borisyuk: Physiology and Mathematical Modeling of the Auditory System.

This volume introduces some basic theories on computational neuroscience. Chapter 1 is a brief introduction to neurons, tailored to the subsequent chapters. Chapter 2 is a self-contained introduction to dynamical systems and bifurcation theory, oriented towards neuronal dynamics. The theory is illustrated with a model of Parkinson's disease. Chapter 3 reviews the theory of coupled neural oscillators observed throughout the nervous systems at all levels; it describes how oscillations arise, what pattern they take, and how they depend on excitory or inhibitory synaptic connections. Chapter 4 specializes to one particular neuronal system, namely, the auditory system. It includes a self-contained introduction, from the anatomy and physiology of the inner ear to the neuronal network that connects the hair cells to the cortex, and describes various models of subsystems.

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